TSTP Solution File: SEU357+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU357+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.hf1EOPJRHx true
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 19:12:22 EDT 2023
% Result : Theorem 1.67s 0.90s
% Output : Refutation 1.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 55
% Number of leaves : 33
% Syntax : Number of formulae : 196 ( 31 unt; 24 typ; 0 def)
% Number of atoms : 525 ( 16 equ; 0 cnn)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 2350 ( 253 ~; 304 |; 16 &;1744 @)
% ( 9 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 60 ( 60 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 19 usr; 4 con; 0-4 aty)
% Number of variables : 198 ( 0 ^; 194 !; 4 ?; 198 :)
% Comments :
%------------------------------------------------------------------------------
thf(rel_str_type,type,
rel_str: $i > $o ).
thf(sk__1_type,type,
sk__1: $i > $i > $i > $i ).
thf(sk__10_type,type,
sk__10: $i ).
thf(element_type,type,
element: $i > $i > $o ).
thf(zip_tseitin_4_type,type,
zip_tseitin_4: $i > $i > $i > $i > $o ).
thf(relstr_element_smaller_type,type,
relstr_element_smaller: $i > $i > $i > $o ).
thf(sk__7_type,type,
sk__7: $i ).
thf(the_carrier_type,type,
the_carrier: $i > $i ).
thf(sk__3_type,type,
sk__3: $i > $i > $i ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $i > $i > $o ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $i > $i > $i > $o ).
thf(antisymmetric_relstr_type,type,
antisymmetric_relstr: $i > $o ).
thf(sk__2_type,type,
sk__2: $i > $i > $i > $i ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $i > $i > $i > $o ).
thf(zip_tseitin_3_type,type,
zip_tseitin_3: $i > $i > $i > $i > $o ).
thf(ex_inf_of_relstr_set_type,type,
ex_inf_of_relstr_set: $i > $i > $o ).
thf(sk__9_type,type,
sk__9: $i > $i ).
thf(sk__8_type,type,
sk__8: $i ).
thf(related_type,type,
related: $i > $i > $i > $o ).
thf(d8_yellow_0,axiom,
! [A: $i] :
( ( rel_str @ A )
=> ! [B: $i] :
( ( ex_inf_of_relstr_set @ A @ B )
<=> ? [C: $i] :
( ( element @ C @ ( the_carrier @ A ) )
& ( relstr_element_smaller @ A @ B @ C )
& ! [D: $i] :
( ( element @ D @ ( the_carrier @ A ) )
=> ( ( relstr_element_smaller @ A @ B @ D )
=> ( related @ A @ D @ C ) ) )
& ! [D: $i] :
( ( element @ D @ ( the_carrier @ A ) )
=> ( ( ! [E: $i] :
( ( element @ E @ ( the_carrier @ A ) )
=> ( ( relstr_element_smaller @ A @ B @ E )
=> ( related @ A @ E @ D ) ) )
& ( relstr_element_smaller @ A @ B @ D ) )
=> ( D = C ) ) ) ) ) ) ).
thf(zf_stmt_0,type,
zip_tseitin_4: $i > $i > $i > $i > $o ).
thf(zf_stmt_1,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( zip_tseitin_4 @ D @ C @ B @ A )
<=> ( ( element @ D @ ( the_carrier @ A ) )
=> ( zip_tseitin_3 @ D @ C @ B @ A ) ) ) ).
thf(zf_stmt_2,type,
zip_tseitin_3: $i > $i > $i > $i > $o ).
thf(zf_stmt_3,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( zip_tseitin_3 @ D @ C @ B @ A )
<=> ( ( zip_tseitin_2 @ D @ B @ A )
=> ( D = C ) ) ) ).
thf(zf_stmt_4,type,
zip_tseitin_2: $i > $i > $i > $o ).
thf(zf_stmt_5,axiom,
! [D: $i,B: $i,A: $i] :
( ( zip_tseitin_2 @ D @ B @ A )
<=> ( ( relstr_element_smaller @ A @ B @ D )
& ! [E: $i] :
( ( element @ E @ ( the_carrier @ A ) )
=> ( ( relstr_element_smaller @ A @ B @ E )
=> ( related @ A @ E @ D ) ) ) ) ) ).
thf(zf_stmt_6,type,
zip_tseitin_1: $i > $i > $i > $i > $o ).
thf(zf_stmt_7,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( zip_tseitin_1 @ D @ C @ B @ A )
<=> ( ( element @ D @ ( the_carrier @ A ) )
=> ( zip_tseitin_0 @ D @ C @ B @ A ) ) ) ).
thf(zf_stmt_8,type,
zip_tseitin_0: $i > $i > $i > $i > $o ).
thf(zf_stmt_9,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( zip_tseitin_0 @ D @ C @ B @ A )
<=> ( ( relstr_element_smaller @ A @ B @ D )
=> ( related @ A @ D @ C ) ) ) ).
thf(zf_stmt_10,axiom,
! [A: $i] :
( ( rel_str @ A )
=> ! [B: $i] :
( ( ex_inf_of_relstr_set @ A @ B )
<=> ? [C: $i] :
( ! [D: $i] : ( zip_tseitin_4 @ D @ C @ B @ A )
& ! [D: $i] : ( zip_tseitin_1 @ D @ C @ B @ A )
& ( relstr_element_smaller @ A @ B @ C )
& ( element @ C @ ( the_carrier @ A ) ) ) ) ) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i] :
( ~ ( ex_inf_of_relstr_set @ X0 @ X1 )
| ( relstr_element_smaller @ X0 @ X1 @ ( sk__3 @ X1 @ X0 ) )
| ~ ( rel_str @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i] :
( ~ ( ex_inf_of_relstr_set @ X0 @ X1 )
| ( element @ ( sk__3 @ X1 @ X0 ) @ ( the_carrier @ X0 ) )
| ~ ( rel_str @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf(t16_yellow_0,conjecture,
! [A: $i] :
( ( ( antisymmetric_relstr @ A )
& ( rel_str @ A ) )
=> ! [B: $i] :
( ( ex_inf_of_relstr_set @ A @ B )
<=> ? [C: $i] :
( ! [D: $i] :
( ( element @ D @ ( the_carrier @ A ) )
=> ( ( relstr_element_smaller @ A @ B @ D )
=> ( related @ A @ D @ C ) ) )
& ( relstr_element_smaller @ A @ B @ C )
& ( element @ C @ ( the_carrier @ A ) ) ) ) ) ).
thf(zf_stmt_11,negated_conjecture,
~ ! [A: $i] :
( ( ( antisymmetric_relstr @ A )
& ( rel_str @ A ) )
=> ! [B: $i] :
( ( ex_inf_of_relstr_set @ A @ B )
<=> ? [C: $i] :
( ! [D: $i] :
( ( element @ D @ ( the_carrier @ A ) )
=> ( ( relstr_element_smaller @ A @ B @ D )
=> ( related @ A @ D @ C ) ) )
& ( relstr_element_smaller @ A @ B @ C )
& ( element @ C @ ( the_carrier @ A ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t16_yellow_0]) ).
thf(zip_derived_cl33,plain,
! [X0: $i] :
( ~ ( element @ X0 @ ( the_carrier @ sk__7 ) )
| ~ ( relstr_element_smaller @ sk__7 @ sk__8 @ X0 )
| ( element @ ( sk__9 @ X0 ) @ ( the_carrier @ sk__7 ) )
| ~ ( ex_inf_of_relstr_set @ sk__7 @ sk__8 ) ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl34,plain,
! [X1: $i] :
( ~ ( element @ X1 @ ( the_carrier @ sk__7 ) )
| ( related @ sk__7 @ X1 @ sk__10 )
| ~ ( relstr_element_smaller @ sk__7 @ sk__8 @ X1 )
| ( ex_inf_of_relstr_set @ sk__7 @ sk__8 ) ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_3 @ X0 @ X1 @ X2 @ X3 )
| ( zip_tseitin_2 @ X0 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_4 @ X0 @ X1 @ X2 @ X3 )
| ~ ( zip_tseitin_3 @ X0 @ X1 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl234,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_2 @ X3 @ X1 @ X0 )
| ( zip_tseitin_4 @ X3 @ X2 @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl13,zip_derived_cl15]) ).
thf(zip_derived_cl18_001,plain,
! [X0: $i,X1: $i] :
( ~ ( ex_inf_of_relstr_set @ X0 @ X1 )
| ( element @ ( sk__3 @ X1 @ X0 ) @ ( the_carrier @ X0 ) )
| ~ ( rel_str @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf(zip_derived_cl19_002,plain,
! [X0: $i,X1: $i] :
( ~ ( ex_inf_of_relstr_set @ X0 @ X1 )
| ( relstr_element_smaller @ X0 @ X1 @ ( sk__3 @ X1 @ X0 ) )
| ~ ( rel_str @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf(zip_derived_cl35,plain,
( ( relstr_element_smaller @ sk__7 @ sk__8 @ sk__10 )
| ( ex_inf_of_relstr_set @ sk__7 @ sk__8 ) ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl31,plain,
! [X0: $i] :
( ~ ( element @ X0 @ ( the_carrier @ sk__7 ) )
| ~ ( relstr_element_smaller @ sk__7 @ sk__8 @ X0 )
| ( relstr_element_smaller @ sk__7 @ sk__8 @ ( sk__9 @ X0 ) )
| ~ ( ex_inf_of_relstr_set @ sk__7 @ sk__8 ) ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl321,plain,
! [X0: $i] :
( ( relstr_element_smaller @ sk__7 @ sk__8 @ sk__10 )
| ~ ( element @ X0 @ ( the_carrier @ sk__7 ) )
| ~ ( relstr_element_smaller @ sk__7 @ sk__8 @ X0 )
| ( relstr_element_smaller @ sk__7 @ sk__8 @ ( sk__9 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl31]) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ex_inf_of_relstr_set @ X0 @ X1 )
| ( zip_tseitin_1 @ X2 @ ( sk__3 @ X1 @ X0 ) @ X1 @ X0 )
| ~ ( rel_str @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( element @ X0 @ ( the_carrier @ X1 ) )
| ( zip_tseitin_0 @ X0 @ X2 @ X3 @ X1 )
| ~ ( zip_tseitin_1 @ X0 @ X2 @ X3 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( relstr_element_smaller @ X0 @ X1 @ X2 )
| ( related @ X0 @ X2 @ X3 )
| ~ ( zip_tseitin_0 @ X2 @ X3 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl229,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( zip_tseitin_1 @ X1 @ X3 @ X2 @ X0 )
| ~ ( element @ X1 @ ( the_carrier @ X0 ) )
| ( related @ X0 @ X1 @ X3 )
| ~ ( relstr_element_smaller @ X0 @ X2 @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl0]) ).
thf(zip_derived_cl240,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( rel_str @ X1 )
| ~ ( ex_inf_of_relstr_set @ X1 @ X0 )
| ~ ( relstr_element_smaller @ X1 @ X0 @ X2 )
| ( related @ X1 @ X2 @ ( sk__3 @ X0 @ X1 ) )
| ~ ( element @ X2 @ ( the_carrier @ X1 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl20,zip_derived_cl229]) ).
thf(zip_derived_cl19_003,plain,
! [X0: $i,X1: $i] :
( ~ ( ex_inf_of_relstr_set @ X0 @ X1 )
| ( relstr_element_smaller @ X0 @ X1 @ ( sk__3 @ X1 @ X0 ) )
| ~ ( rel_str @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf(zip_derived_cl35_004,plain,
( ( relstr_element_smaller @ sk__7 @ sk__8 @ sk__10 )
| ( ex_inf_of_relstr_set @ sk__7 @ sk__8 ) ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl18_005,plain,
! [X0: $i,X1: $i] :
( ~ ( ex_inf_of_relstr_set @ X0 @ X1 )
| ( element @ ( sk__3 @ X1 @ X0 ) @ ( the_carrier @ X0 ) )
| ~ ( rel_str @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf(zip_derived_cl35_006,plain,
( ( relstr_element_smaller @ sk__7 @ sk__8 @ sk__10 )
| ( ex_inf_of_relstr_set @ sk__7 @ sk__8 ) ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl32,plain,
! [X0: $i] :
( ~ ( element @ X0 @ ( the_carrier @ sk__7 ) )
| ~ ( relstr_element_smaller @ sk__7 @ sk__8 @ X0 )
| ~ ( related @ sk__7 @ ( sk__9 @ X0 ) @ X0 )
| ~ ( ex_inf_of_relstr_set @ sk__7 @ sk__8 ) ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl296,plain,
! [X0: $i] :
( ( relstr_element_smaller @ sk__7 @ sk__8 @ sk__10 )
| ~ ( element @ X0 @ ( the_carrier @ sk__7 ) )
| ~ ( relstr_element_smaller @ sk__7 @ sk__8 @ X0 )
| ~ ( related @ sk__7 @ ( sk__9 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl32]) ).
thf(zip_derived_cl299,plain,
! [X0: $i] :
( ~ ( rel_str @ sk__7 )
| ~ ( ex_inf_of_relstr_set @ sk__7 @ X0 )
| ( relstr_element_smaller @ sk__7 @ sk__8 @ sk__10 )
| ~ ( relstr_element_smaller @ sk__7 @ sk__8 @ ( sk__3 @ X0 @ sk__7 ) )
| ~ ( related @ sk__7 @ ( sk__9 @ ( sk__3 @ X0 @ sk__7 ) ) @ ( sk__3 @ X0 @ sk__7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl296]) ).
thf(zip_derived_cl30,plain,
rel_str @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl302,plain,
! [X0: $i] :
( ~ ( ex_inf_of_relstr_set @ sk__7 @ X0 )
| ( relstr_element_smaller @ sk__7 @ sk__8 @ sk__10 )
| ~ ( relstr_element_smaller @ sk__7 @ sk__8 @ ( sk__3 @ X0 @ sk__7 ) )
| ~ ( related @ sk__7 @ ( sk__9 @ ( sk__3 @ X0 @ sk__7 ) ) @ ( sk__3 @ X0 @ sk__7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl299,zip_derived_cl30]) ).
thf(zip_derived_cl359,plain,
( ( relstr_element_smaller @ sk__7 @ sk__8 @ sk__10 )
| ( relstr_element_smaller @ sk__7 @ sk__8 @ sk__10 )
| ~ ( relstr_element_smaller @ sk__7 @ sk__8 @ ( sk__3 @ sk__8 @ sk__7 ) )
| ~ ( related @ sk__7 @ ( sk__9 @ ( sk__3 @ sk__8 @ sk__7 ) ) @ ( sk__3 @ sk__8 @ sk__7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl302]) ).
thf(zip_derived_cl360,plain,
( ~ ( related @ sk__7 @ ( sk__9 @ ( sk__3 @ sk__8 @ sk__7 ) ) @ ( sk__3 @ sk__8 @ sk__7 ) )
| ~ ( relstr_element_smaller @ sk__7 @ sk__8 @ ( sk__3 @ sk__8 @ sk__7 ) )
| ( relstr_element_smaller @ sk__7 @ sk__8 @ sk__10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl359]) ).
thf(zip_derived_cl361,plain,
( ~ ( rel_str @ sk__7 )
| ~ ( ex_inf_of_relstr_set @ sk__7 @ sk__8 )
| ~ ( related @ sk__7 @ ( sk__9 @ ( sk__3 @ sk__8 @ sk__7 ) ) @ ( sk__3 @ sk__8 @ sk__7 ) )
| ( relstr_element_smaller @ sk__7 @ sk__8 @ sk__10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl360]) ).
thf(zip_derived_cl30_007,plain,
rel_str @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl362,plain,
( ~ ( ex_inf_of_relstr_set @ sk__7 @ sk__8 )
| ~ ( related @ sk__7 @ ( sk__9 @ ( sk__3 @ sk__8 @ sk__7 ) ) @ ( sk__3 @ sk__8 @ sk__7 ) )
| ( relstr_element_smaller @ sk__7 @ sk__8 @ sk__10 ) ),
inference(demod,[status(thm)],[zip_derived_cl361,zip_derived_cl30]) ).
thf(zip_derived_cl35_008,plain,
( ( relstr_element_smaller @ sk__7 @ sk__8 @ sk__10 )
| ( ex_inf_of_relstr_set @ sk__7 @ sk__8 ) ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl363,plain,
( ( relstr_element_smaller @ sk__7 @ sk__8 @ sk__10 )
| ~ ( related @ sk__7 @ ( sk__9 @ ( sk__3 @ sk__8 @ sk__7 ) ) @ ( sk__3 @ sk__8 @ sk__7 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl362,zip_derived_cl35]) ).
thf(zip_derived_cl364,plain,
( ~ ( element @ ( sk__9 @ ( sk__3 @ sk__8 @ sk__7 ) ) @ ( the_carrier @ sk__7 ) )
| ~ ( relstr_element_smaller @ sk__7 @ sk__8 @ ( sk__9 @ ( sk__3 @ sk__8 @ sk__7 ) ) )
| ~ ( ex_inf_of_relstr_set @ sk__7 @ sk__8 )
| ~ ( rel_str @ sk__7 )
| ( relstr_element_smaller @ sk__7 @ sk__8 @ sk__10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl240,zip_derived_cl363]) ).
thf(zip_derived_cl30_009,plain,
rel_str @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl365,plain,
( ~ ( element @ ( sk__9 @ ( sk__3 @ sk__8 @ sk__7 ) ) @ ( the_carrier @ sk__7 ) )
| ~ ( relstr_element_smaller @ sk__7 @ sk__8 @ ( sk__9 @ ( sk__3 @ sk__8 @ sk__7 ) ) )
| ~ ( ex_inf_of_relstr_set @ sk__7 @ sk__8 )
| ( relstr_element_smaller @ sk__7 @ sk__8 @ sk__10 ) ),
inference(demod,[status(thm)],[zip_derived_cl364,zip_derived_cl30]) ).
thf(zip_derived_cl35_010,plain,
( ( relstr_element_smaller @ sk__7 @ sk__8 @ sk__10 )
| ( ex_inf_of_relstr_set @ sk__7 @ sk__8 ) ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl366,plain,
( ( relstr_element_smaller @ sk__7 @ sk__8 @ sk__10 )
| ~ ( relstr_element_smaller @ sk__7 @ sk__8 @ ( sk__9 @ ( sk__3 @ sk__8 @ sk__7 ) ) )
| ~ ( element @ ( sk__9 @ ( sk__3 @ sk__8 @ sk__7 ) ) @ ( the_carrier @ sk__7 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl365,zip_derived_cl35]) ).
thf(zip_derived_cl367,plain,
( ~ ( relstr_element_smaller @ sk__7 @ sk__8 @ ( sk__3 @ sk__8 @ sk__7 ) )
| ~ ( element @ ( sk__3 @ sk__8 @ sk__7 ) @ ( the_carrier @ sk__7 ) )
| ( relstr_element_smaller @ sk__7 @ sk__8 @ sk__10 )
| ( relstr_element_smaller @ sk__7 @ sk__8 @ sk__10 )
| ~ ( element @ ( sk__9 @ ( sk__3 @ sk__8 @ sk__7 ) ) @ ( the_carrier @ sk__7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl321,zip_derived_cl366]) ).
thf(zip_derived_cl368,plain,
( ~ ( element @ ( sk__9 @ ( sk__3 @ sk__8 @ sk__7 ) ) @ ( the_carrier @ sk__7 ) )
| ( relstr_element_smaller @ sk__7 @ sk__8 @ sk__10 )
| ~ ( element @ ( sk__3 @ sk__8 @ sk__7 ) @ ( the_carrier @ sk__7 ) )
| ~ ( relstr_element_smaller @ sk__7 @ sk__8 @ ( sk__3 @ sk__8 @ sk__7 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl367]) ).
thf(zip_derived_cl35_011,plain,
( ( relstr_element_smaller @ sk__7 @ sk__8 @ sk__10 )
| ( ex_inf_of_relstr_set @ sk__7 @ sk__8 ) ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl33_012,plain,
! [X0: $i] :
( ~ ( element @ X0 @ ( the_carrier @ sk__7 ) )
| ~ ( relstr_element_smaller @ sk__7 @ sk__8 @ X0 )
| ( element @ ( sk__9 @ X0 ) @ ( the_carrier @ sk__7 ) )
| ~ ( ex_inf_of_relstr_set @ sk__7 @ sk__8 ) ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl297,plain,
! [X0: $i] :
( ( relstr_element_smaller @ sk__7 @ sk__8 @ sk__10 )
| ~ ( element @ X0 @ ( the_carrier @ sk__7 ) )
| ~ ( relstr_element_smaller @ sk__7 @ sk__8 @ X0 )
| ( element @ ( sk__9 @ X0 ) @ ( the_carrier @ sk__7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl33]) ).
thf(zip_derived_cl391,plain,
( ~ ( relstr_element_smaller @ sk__7 @ sk__8 @ ( sk__3 @ sk__8 @ sk__7 ) )
| ~ ( element @ ( sk__3 @ sk__8 @ sk__7 ) @ ( the_carrier @ sk__7 ) )
| ( relstr_element_smaller @ sk__7 @ sk__8 @ sk__10 ) ),
inference(clc,[status(thm)],[zip_derived_cl368,zip_derived_cl297]) ).
thf(zip_derived_cl392,plain,
( ~ ( rel_str @ sk__7 )
| ~ ( ex_inf_of_relstr_set @ sk__7 @ sk__8 )
| ~ ( element @ ( sk__3 @ sk__8 @ sk__7 ) @ ( the_carrier @ sk__7 ) )
| ( relstr_element_smaller @ sk__7 @ sk__8 @ sk__10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl391]) ).
thf(zip_derived_cl30_013,plain,
rel_str @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl393,plain,
( ~ ( ex_inf_of_relstr_set @ sk__7 @ sk__8 )
| ~ ( element @ ( sk__3 @ sk__8 @ sk__7 ) @ ( the_carrier @ sk__7 ) )
| ( relstr_element_smaller @ sk__7 @ sk__8 @ sk__10 ) ),
inference(demod,[status(thm)],[zip_derived_cl392,zip_derived_cl30]) ).
thf(zip_derived_cl35_014,plain,
( ( relstr_element_smaller @ sk__7 @ sk__8 @ sk__10 )
| ( ex_inf_of_relstr_set @ sk__7 @ sk__8 ) ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl394,plain,
( ( relstr_element_smaller @ sk__7 @ sk__8 @ sk__10 )
| ~ ( element @ ( sk__3 @ sk__8 @ sk__7 ) @ ( the_carrier @ sk__7 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl393,zip_derived_cl35]) ).
thf(zip_derived_cl395,plain,
( ~ ( rel_str @ sk__7 )
| ~ ( ex_inf_of_relstr_set @ sk__7 @ sk__8 )
| ( relstr_element_smaller @ sk__7 @ sk__8 @ sk__10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl394]) ).
thf(zip_derived_cl30_015,plain,
rel_str @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl396,plain,
( ~ ( ex_inf_of_relstr_set @ sk__7 @ sk__8 )
| ( relstr_element_smaller @ sk__7 @ sk__8 @ sk__10 ) ),
inference(demod,[status(thm)],[zip_derived_cl395,zip_derived_cl30]) ).
thf(zip_derived_cl35_016,plain,
( ( relstr_element_smaller @ sk__7 @ sk__8 @ sk__10 )
| ( ex_inf_of_relstr_set @ sk__7 @ sk__8 ) ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl397,plain,
relstr_element_smaller @ sk__7 @ sk__8 @ sk__10,
inference(clc,[status(thm)],[zip_derived_cl396,zip_derived_cl35]) ).
thf(zip_derived_cl36,plain,
( ( element @ sk__10 @ ( the_carrier @ sk__7 ) )
| ( ex_inf_of_relstr_set @ sk__7 @ sk__8 ) ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 )
| ( relstr_element_smaller @ X3 @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_1 @ X0 @ X1 @ X2 @ X3 )
| ~ ( zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl231,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( relstr_element_smaller @ X0 @ X1 @ X3 )
| ( zip_tseitin_1 @ X3 @ X2 @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_4 @ ( sk__1 @ X0 @ X1 @ X2 ) @ X0 @ X1 @ X2 )
| ~ ( zip_tseitin_1 @ ( sk__2 @ X0 @ X1 @ X2 ) @ X0 @ X1 @ X2 )
| ~ ( relstr_element_smaller @ X2 @ X1 @ X0 )
| ~ ( element @ X0 @ ( the_carrier @ X2 ) )
| ( ex_inf_of_relstr_set @ X2 @ X1 )
| ~ ( rel_str @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf(zip_derived_cl243,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( relstr_element_smaller @ X0 @ X1 @ ( sk__2 @ X2 @ X1 @ X0 ) )
| ~ ( rel_str @ X0 )
| ( ex_inf_of_relstr_set @ X0 @ X1 )
| ~ ( element @ X2 @ ( the_carrier @ X0 ) )
| ~ ( relstr_element_smaller @ X0 @ X1 @ X2 )
| ~ ( zip_tseitin_4 @ ( sk__1 @ X2 @ X1 @ X0 ) @ X2 @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl231,zip_derived_cl17]) ).
thf(zip_derived_cl373,plain,
! [X0: $i] :
( ( ex_inf_of_relstr_set @ sk__7 @ sk__8 )
| ( relstr_element_smaller @ sk__7 @ X0 @ ( sk__2 @ sk__10 @ X0 @ sk__7 ) )
| ~ ( rel_str @ sk__7 )
| ( ex_inf_of_relstr_set @ sk__7 @ X0 )
| ~ ( relstr_element_smaller @ sk__7 @ X0 @ sk__10 )
| ~ ( zip_tseitin_4 @ ( sk__1 @ sk__10 @ X0 @ sk__7 ) @ sk__10 @ X0 @ sk__7 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl243]) ).
thf(zip_derived_cl30_017,plain,
rel_str @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl376,plain,
! [X0: $i] :
( ( ex_inf_of_relstr_set @ sk__7 @ sk__8 )
| ( relstr_element_smaller @ sk__7 @ X0 @ ( sk__2 @ sk__10 @ X0 @ sk__7 ) )
| ( ex_inf_of_relstr_set @ sk__7 @ X0 )
| ~ ( relstr_element_smaller @ sk__7 @ X0 @ sk__10 )
| ~ ( zip_tseitin_4 @ ( sk__1 @ sk__10 @ X0 @ sk__7 ) @ sk__10 @ X0 @ sk__7 ) ),
inference(demod,[status(thm)],[zip_derived_cl373,zip_derived_cl30]) ).
thf(zip_derived_cl480,plain,
( ( ex_inf_of_relstr_set @ sk__7 @ sk__8 )
| ( relstr_element_smaller @ sk__7 @ sk__8 @ ( sk__2 @ sk__10 @ sk__8 @ sk__7 ) )
| ( ex_inf_of_relstr_set @ sk__7 @ sk__8 )
| ~ ( zip_tseitin_4 @ ( sk__1 @ sk__10 @ sk__8 @ sk__7 ) @ sk__10 @ sk__8 @ sk__7 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl397,zip_derived_cl376]) ).
thf(zip_derived_cl481,plain,
( ~ ( zip_tseitin_4 @ ( sk__1 @ sk__10 @ sk__8 @ sk__7 ) @ sk__10 @ sk__8 @ sk__7 )
| ( relstr_element_smaller @ sk__7 @ sk__8 @ ( sk__2 @ sk__10 @ sk__8 @ sk__7 ) )
| ( ex_inf_of_relstr_set @ sk__7 @ sk__8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl480]) ).
thf(zip_derived_cl34_018,plain,
! [X1: $i] :
( ~ ( element @ X1 @ ( the_carrier @ sk__7 ) )
| ( related @ sk__7 @ X1 @ sk__10 )
| ~ ( relstr_element_smaller @ sk__7 @ sk__8 @ X1 )
| ( ex_inf_of_relstr_set @ sk__7 @ sk__8 ) ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl397_019,plain,
relstr_element_smaller @ sk__7 @ sk__8 @ sk__10,
inference(clc,[status(thm)],[zip_derived_cl396,zip_derived_cl35]) ).
thf(zip_derived_cl36_020,plain,
( ( element @ sk__10 @ ( the_carrier @ sk__7 ) )
| ( ex_inf_of_relstr_set @ sk__7 @ sk__8 ) ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 )
| ~ ( related @ X3 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl4_021,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_1 @ X0 @ X1 @ X2 @ X3 )
| ~ ( zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl230,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( related @ X0 @ X3 @ X2 )
| ( zip_tseitin_1 @ X3 @ X2 @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl4]) ).
thf(zip_derived_cl17_022,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_4 @ ( sk__1 @ X0 @ X1 @ X2 ) @ X0 @ X1 @ X2 )
| ~ ( zip_tseitin_1 @ ( sk__2 @ X0 @ X1 @ X2 ) @ X0 @ X1 @ X2 )
| ~ ( relstr_element_smaller @ X2 @ X1 @ X0 )
| ~ ( element @ X0 @ ( the_carrier @ X2 ) )
| ( ex_inf_of_relstr_set @ X2 @ X1 )
| ~ ( rel_str @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf(zip_derived_cl241,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( related @ X1 @ ( sk__2 @ X0 @ X2 @ X1 ) @ X0 )
| ~ ( rel_str @ X1 )
| ( ex_inf_of_relstr_set @ X1 @ X2 )
| ~ ( element @ X0 @ ( the_carrier @ X1 ) )
| ~ ( relstr_element_smaller @ X1 @ X2 @ X0 )
| ~ ( zip_tseitin_4 @ ( sk__1 @ X0 @ X2 @ X1 ) @ X0 @ X2 @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl230,zip_derived_cl17]) ).
thf(zip_derived_cl355,plain,
! [X0: $i] :
( ( ex_inf_of_relstr_set @ sk__7 @ sk__8 )
| ~ ( related @ sk__7 @ ( sk__2 @ sk__10 @ X0 @ sk__7 ) @ sk__10 )
| ~ ( rel_str @ sk__7 )
| ( ex_inf_of_relstr_set @ sk__7 @ X0 )
| ~ ( relstr_element_smaller @ sk__7 @ X0 @ sk__10 )
| ~ ( zip_tseitin_4 @ ( sk__1 @ sk__10 @ X0 @ sk__7 ) @ sk__10 @ X0 @ sk__7 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl241]) ).
thf(zip_derived_cl30_023,plain,
rel_str @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl358,plain,
! [X0: $i] :
( ( ex_inf_of_relstr_set @ sk__7 @ sk__8 )
| ~ ( related @ sk__7 @ ( sk__2 @ sk__10 @ X0 @ sk__7 ) @ sk__10 )
| ( ex_inf_of_relstr_set @ sk__7 @ X0 )
| ~ ( relstr_element_smaller @ sk__7 @ X0 @ sk__10 )
| ~ ( zip_tseitin_4 @ ( sk__1 @ sk__10 @ X0 @ sk__7 ) @ sk__10 @ X0 @ sk__7 ) ),
inference(demod,[status(thm)],[zip_derived_cl355,zip_derived_cl30]) ).
thf(zip_derived_cl442,plain,
( ( ex_inf_of_relstr_set @ sk__7 @ sk__8 )
| ~ ( related @ sk__7 @ ( sk__2 @ sk__10 @ sk__8 @ sk__7 ) @ sk__10 )
| ( ex_inf_of_relstr_set @ sk__7 @ sk__8 )
| ~ ( zip_tseitin_4 @ ( sk__1 @ sk__10 @ sk__8 @ sk__7 ) @ sk__10 @ sk__8 @ sk__7 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl397,zip_derived_cl358]) ).
thf(zip_derived_cl443,plain,
( ~ ( zip_tseitin_4 @ ( sk__1 @ sk__10 @ sk__8 @ sk__7 ) @ sk__10 @ sk__8 @ sk__7 )
| ~ ( related @ sk__7 @ ( sk__2 @ sk__10 @ sk__8 @ sk__7 ) @ sk__10 )
| ( ex_inf_of_relstr_set @ sk__7 @ sk__8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl442]) ).
thf(zip_derived_cl444,plain,
( ( ex_inf_of_relstr_set @ sk__7 @ sk__8 )
| ~ ( relstr_element_smaller @ sk__7 @ sk__8 @ ( sk__2 @ sk__10 @ sk__8 @ sk__7 ) )
| ~ ( element @ ( sk__2 @ sk__10 @ sk__8 @ sk__7 ) @ ( the_carrier @ sk__7 ) )
| ~ ( zip_tseitin_4 @ ( sk__1 @ sk__10 @ sk__8 @ sk__7 ) @ sk__10 @ sk__8 @ sk__7 )
| ( ex_inf_of_relstr_set @ sk__7 @ sk__8 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl443]) ).
thf(zip_derived_cl445,plain,
( ~ ( zip_tseitin_4 @ ( sk__1 @ sk__10 @ sk__8 @ sk__7 ) @ sk__10 @ sk__8 @ sk__7 )
| ~ ( element @ ( sk__2 @ sk__10 @ sk__8 @ sk__7 ) @ ( the_carrier @ sk__7 ) )
| ~ ( relstr_element_smaller @ sk__7 @ sk__8 @ ( sk__2 @ sk__10 @ sk__8 @ sk__7 ) )
| ( ex_inf_of_relstr_set @ sk__7 @ sk__8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl444]) ).
thf(zip_derived_cl397_024,plain,
relstr_element_smaller @ sk__7 @ sk__8 @ sk__10,
inference(clc,[status(thm)],[zip_derived_cl396,zip_derived_cl35]) ).
thf(zip_derived_cl36_025,plain,
( ( element @ sk__10 @ ( the_carrier @ sk__7 ) )
| ( ex_inf_of_relstr_set @ sk__7 @ sk__8 ) ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_1 @ X0 @ X1 @ X2 @ X3 )
| ( element @ X0 @ ( the_carrier @ X3 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl17_026,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_4 @ ( sk__1 @ X0 @ X1 @ X2 ) @ X0 @ X1 @ X2 )
| ~ ( zip_tseitin_1 @ ( sk__2 @ X0 @ X1 @ X2 ) @ X0 @ X1 @ X2 )
| ~ ( relstr_element_smaller @ X2 @ X1 @ X0 )
| ~ ( element @ X0 @ ( the_carrier @ X2 ) )
| ( ex_inf_of_relstr_set @ X2 @ X1 )
| ~ ( rel_str @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf(zip_derived_cl235,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( element @ ( sk__2 @ X2 @ X1 @ X0 ) @ ( the_carrier @ X0 ) )
| ~ ( rel_str @ X0 )
| ( ex_inf_of_relstr_set @ X0 @ X1 )
| ~ ( element @ X2 @ ( the_carrier @ X0 ) )
| ~ ( relstr_element_smaller @ X0 @ X1 @ X2 )
| ~ ( zip_tseitin_4 @ ( sk__1 @ X2 @ X1 @ X0 ) @ X2 @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl17]) ).
thf(zip_derived_cl333,plain,
! [X0: $i] :
( ( ex_inf_of_relstr_set @ sk__7 @ sk__8 )
| ( element @ ( sk__2 @ sk__10 @ X0 @ sk__7 ) @ ( the_carrier @ sk__7 ) )
| ~ ( rel_str @ sk__7 )
| ( ex_inf_of_relstr_set @ sk__7 @ X0 )
| ~ ( relstr_element_smaller @ sk__7 @ X0 @ sk__10 )
| ~ ( zip_tseitin_4 @ ( sk__1 @ sk__10 @ X0 @ sk__7 ) @ sk__10 @ X0 @ sk__7 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl235]) ).
thf(zip_derived_cl30_027,plain,
rel_str @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl336,plain,
! [X0: $i] :
( ( ex_inf_of_relstr_set @ sk__7 @ sk__8 )
| ( element @ ( sk__2 @ sk__10 @ X0 @ sk__7 ) @ ( the_carrier @ sk__7 ) )
| ( ex_inf_of_relstr_set @ sk__7 @ X0 )
| ~ ( relstr_element_smaller @ sk__7 @ X0 @ sk__10 )
| ~ ( zip_tseitin_4 @ ( sk__1 @ sk__10 @ X0 @ sk__7 ) @ sk__10 @ X0 @ sk__7 ) ),
inference(demod,[status(thm)],[zip_derived_cl333,zip_derived_cl30]) ).
thf(zip_derived_cl428,plain,
( ( ex_inf_of_relstr_set @ sk__7 @ sk__8 )
| ( element @ ( sk__2 @ sk__10 @ sk__8 @ sk__7 ) @ ( the_carrier @ sk__7 ) )
| ( ex_inf_of_relstr_set @ sk__7 @ sk__8 )
| ~ ( zip_tseitin_4 @ ( sk__1 @ sk__10 @ sk__8 @ sk__7 ) @ sk__10 @ sk__8 @ sk__7 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl397,zip_derived_cl336]) ).
thf(zip_derived_cl429,plain,
( ~ ( zip_tseitin_4 @ ( sk__1 @ sk__10 @ sk__8 @ sk__7 ) @ sk__10 @ sk__8 @ sk__7 )
| ( element @ ( sk__2 @ sk__10 @ sk__8 @ sk__7 ) @ ( the_carrier @ sk__7 ) )
| ( ex_inf_of_relstr_set @ sk__7 @ sk__8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl428]) ).
thf(zip_derived_cl466,plain,
( ( ex_inf_of_relstr_set @ sk__7 @ sk__8 )
| ~ ( relstr_element_smaller @ sk__7 @ sk__8 @ ( sk__2 @ sk__10 @ sk__8 @ sk__7 ) )
| ~ ( zip_tseitin_4 @ ( sk__1 @ sk__10 @ sk__8 @ sk__7 ) @ sk__10 @ sk__8 @ sk__7 ) ),
inference(clc,[status(thm)],[zip_derived_cl445,zip_derived_cl429]) ).
thf(zip_derived_cl482,plain,
( ( ex_inf_of_relstr_set @ sk__7 @ sk__8 )
| ~ ( zip_tseitin_4 @ ( sk__1 @ sk__10 @ sk__8 @ sk__7 ) @ sk__10 @ sk__8 @ sk__7 ) ),
inference(clc,[status(thm)],[zip_derived_cl481,zip_derived_cl466]) ).
thf(zip_derived_cl484,plain,
( ( zip_tseitin_2 @ ( sk__1 @ sk__10 @ sk__8 @ sk__7 ) @ sk__8 @ sk__7 )
| ( ex_inf_of_relstr_set @ sk__7 @ sk__8 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl234,zip_derived_cl482]) ).
thf(zip_derived_cl397_028,plain,
relstr_element_smaller @ sk__7 @ sk__8 @ sk__10,
inference(clc,[status(thm)],[zip_derived_cl396,zip_derived_cl35]) ).
thf(zip_derived_cl36_029,plain,
( ( element @ sk__10 @ ( the_carrier @ sk__7 ) )
| ( ex_inf_of_relstr_set @ sk__7 @ sk__8 ) ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( element @ X0 @ ( the_carrier @ X1 ) )
| ( related @ X1 @ X0 @ X2 )
| ~ ( relstr_element_smaller @ X1 @ X3 @ X0 )
| ~ ( zip_tseitin_2 @ X2 @ X3 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl291,plain,
! [X0: $i,X1: $i] :
( ( ex_inf_of_relstr_set @ sk__7 @ sk__8 )
| ( related @ sk__7 @ sk__10 @ X0 )
| ~ ( relstr_element_smaller @ sk__7 @ X1 @ sk__10 )
| ~ ( zip_tseitin_2 @ X0 @ X1 @ sk__7 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl7]) ).
thf(zip_derived_cl399,plain,
! [X0: $i] :
( ( ex_inf_of_relstr_set @ sk__7 @ sk__8 )
| ( related @ sk__7 @ sk__10 @ X0 )
| ~ ( zip_tseitin_2 @ X0 @ sk__8 @ sk__7 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl397,zip_derived_cl291]) ).
thf(zip_derived_cl497,plain,
( ( ex_inf_of_relstr_set @ sk__7 @ sk__8 )
| ( ex_inf_of_relstr_set @ sk__7 @ sk__8 )
| ( related @ sk__7 @ sk__10 @ ( sk__1 @ sk__10 @ sk__8 @ sk__7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl484,zip_derived_cl399]) ).
thf(zip_derived_cl498,plain,
( ( related @ sk__7 @ sk__10 @ ( sk__1 @ sk__10 @ sk__8 @ sk__7 ) )
| ( ex_inf_of_relstr_set @ sk__7 @ sk__8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl497]) ).
thf(zip_derived_cl36_030,plain,
( ( element @ sk__10 @ ( the_carrier @ sk__7 ) )
| ( ex_inf_of_relstr_set @ sk__7 @ sk__8 ) ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl29,plain,
antisymmetric_relstr @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(t25_orders_2,axiom,
! [A: $i] :
( ( ( antisymmetric_relstr @ A )
& ( rel_str @ A ) )
=> ! [B: $i] :
( ( element @ B @ ( the_carrier @ A ) )
=> ! [C: $i] :
( ( element @ C @ ( the_carrier @ A ) )
=> ( ( ( related @ A @ B @ C )
& ( related @ A @ C @ B ) )
=> ( B = C ) ) ) ) ) ).
thf(zip_derived_cl37,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( element @ X0 @ ( the_carrier @ X1 ) )
| ~ ( related @ X1 @ X0 @ X2 )
| ~ ( related @ X1 @ X2 @ X0 )
| ( X0 = X2 )
| ~ ( element @ X2 @ ( the_carrier @ X1 ) )
| ~ ( rel_str @ X1 )
| ~ ( antisymmetric_relstr @ X1 ) ),
inference(cnf,[status(esa)],[t25_orders_2]) ).
thf(zip_derived_cl228,plain,
! [X0: $i,X1: $i] :
( ~ ( rel_str @ sk__7 )
| ~ ( element @ X1 @ ( the_carrier @ sk__7 ) )
| ( X0 = X1 )
| ~ ( related @ sk__7 @ X1 @ X0 )
| ~ ( related @ sk__7 @ X0 @ X1 )
| ~ ( element @ X0 @ ( the_carrier @ sk__7 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl29,zip_derived_cl37]) ).
thf(zip_derived_cl30_031,plain,
rel_str @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl287,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X1 @ ( the_carrier @ sk__7 ) )
| ( X0 = X1 )
| ~ ( related @ sk__7 @ X1 @ X0 )
| ~ ( related @ sk__7 @ X0 @ X1 )
| ~ ( element @ X0 @ ( the_carrier @ sk__7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl228,zip_derived_cl30]) ).
thf(zip_derived_cl292,plain,
! [X0: $i] :
( ( ex_inf_of_relstr_set @ sk__7 @ sk__8 )
| ( X0 = sk__10 )
| ~ ( related @ sk__7 @ sk__10 @ X0 )
| ~ ( related @ sk__7 @ X0 @ sk__10 )
| ~ ( element @ X0 @ ( the_carrier @ sk__7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl287]) ).
thf(zip_derived_cl505,plain,
( ( ex_inf_of_relstr_set @ sk__7 @ sk__8 )
| ( ex_inf_of_relstr_set @ sk__7 @ sk__8 )
| ( ( sk__1 @ sk__10 @ sk__8 @ sk__7 )
= sk__10 )
| ~ ( related @ sk__7 @ ( sk__1 @ sk__10 @ sk__8 @ sk__7 ) @ sk__10 )
| ~ ( element @ ( sk__1 @ sk__10 @ sk__8 @ sk__7 ) @ ( the_carrier @ sk__7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl498,zip_derived_cl292]) ).
thf(zip_derived_cl506,plain,
( ~ ( element @ ( sk__1 @ sk__10 @ sk__8 @ sk__7 ) @ ( the_carrier @ sk__7 ) )
| ~ ( related @ sk__7 @ ( sk__1 @ sk__10 @ sk__8 @ sk__7 ) @ sk__10 )
| ( ( sk__1 @ sk__10 @ sk__8 @ sk__7 )
= sk__10 )
| ( ex_inf_of_relstr_set @ sk__7 @ sk__8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl505]) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_4 @ X0 @ X1 @ X2 @ X3 )
| ( element @ X0 @ ( the_carrier @ X3 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl482_032,plain,
( ( ex_inf_of_relstr_set @ sk__7 @ sk__8 )
| ~ ( zip_tseitin_4 @ ( sk__1 @ sk__10 @ sk__8 @ sk__7 ) @ sk__10 @ sk__8 @ sk__7 ) ),
inference(clc,[status(thm)],[zip_derived_cl481,zip_derived_cl466]) ).
thf(zip_derived_cl483,plain,
( ( element @ ( sk__1 @ sk__10 @ sk__8 @ sk__7 ) @ ( the_carrier @ sk__7 ) )
| ( ex_inf_of_relstr_set @ sk__7 @ sk__8 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl482]) ).
thf(zip_derived_cl512,plain,
( ( ex_inf_of_relstr_set @ sk__7 @ sk__8 )
| ( ( sk__1 @ sk__10 @ sk__8 @ sk__7 )
= sk__10 )
| ~ ( related @ sk__7 @ ( sk__1 @ sk__10 @ sk__8 @ sk__7 ) @ sk__10 ) ),
inference(clc,[status(thm)],[zip_derived_cl506,zip_derived_cl483]) ).
thf(zip_derived_cl513,plain,
( ( ex_inf_of_relstr_set @ sk__7 @ sk__8 )
| ~ ( relstr_element_smaller @ sk__7 @ sk__8 @ ( sk__1 @ sk__10 @ sk__8 @ sk__7 ) )
| ~ ( element @ ( sk__1 @ sk__10 @ sk__8 @ sk__7 ) @ ( the_carrier @ sk__7 ) )
| ( ex_inf_of_relstr_set @ sk__7 @ sk__8 )
| ( ( sk__1 @ sk__10 @ sk__8 @ sk__7 )
= sk__10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl512]) ).
thf(zip_derived_cl514,plain,
( ( ( sk__1 @ sk__10 @ sk__8 @ sk__7 )
= sk__10 )
| ~ ( element @ ( sk__1 @ sk__10 @ sk__8 @ sk__7 ) @ ( the_carrier @ sk__7 ) )
| ~ ( relstr_element_smaller @ sk__7 @ sk__8 @ ( sk__1 @ sk__10 @ sk__8 @ sk__7 ) )
| ( ex_inf_of_relstr_set @ sk__7 @ sk__8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl513]) ).
thf(zip_derived_cl483_033,plain,
( ( element @ ( sk__1 @ sk__10 @ sk__8 @ sk__7 ) @ ( the_carrier @ sk__7 ) )
| ( ex_inf_of_relstr_set @ sk__7 @ sk__8 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl482]) ).
thf(zip_derived_cl515,plain,
( ( ex_inf_of_relstr_set @ sk__7 @ sk__8 )
| ~ ( relstr_element_smaller @ sk__7 @ sk__8 @ ( sk__1 @ sk__10 @ sk__8 @ sk__7 ) )
| ( ( sk__1 @ sk__10 @ sk__8 @ sk__7 )
= sk__10 ) ),
inference(clc,[status(thm)],[zip_derived_cl514,zip_derived_cl483]) ).
thf(zip_derived_cl484_034,plain,
( ( zip_tseitin_2 @ ( sk__1 @ sk__10 @ sk__8 @ sk__7 ) @ sk__8 @ sk__7 )
| ( ex_inf_of_relstr_set @ sk__7 @ sk__8 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl234,zip_derived_cl482]) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( relstr_element_smaller @ X0 @ X1 @ X2 )
| ~ ( zip_tseitin_2 @ X2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl496,plain,
( ( ex_inf_of_relstr_set @ sk__7 @ sk__8 )
| ( relstr_element_smaller @ sk__7 @ sk__8 @ ( sk__1 @ sk__10 @ sk__8 @ sk__7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl484,zip_derived_cl6]) ).
thf(zip_derived_cl516,plain,
( ( ( sk__1 @ sk__10 @ sk__8 @ sk__7 )
= sk__10 )
| ( ex_inf_of_relstr_set @ sk__7 @ sk__8 ) ),
inference(clc,[status(thm)],[zip_derived_cl515,zip_derived_cl496]) ).
thf(zip_derived_cl482_035,plain,
( ( ex_inf_of_relstr_set @ sk__7 @ sk__8 )
| ~ ( zip_tseitin_4 @ ( sk__1 @ sk__10 @ sk__8 @ sk__7 ) @ sk__10 @ sk__8 @ sk__7 ) ),
inference(clc,[status(thm)],[zip_derived_cl481,zip_derived_cl466]) ).
thf(zip_derived_cl517,plain,
( ( ex_inf_of_relstr_set @ sk__7 @ sk__8 )
| ( ex_inf_of_relstr_set @ sk__7 @ sk__8 )
| ~ ( zip_tseitin_4 @ sk__10 @ sk__10 @ sk__8 @ sk__7 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl516,zip_derived_cl482]) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_3 @ X0 @ X1 @ X2 @ X3 )
| ( X0 != X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl15_036,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_4 @ X0 @ X1 @ X2 @ X3 )
| ~ ( zip_tseitin_3 @ X0 @ X1 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl233,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X3 != X2 )
| ( zip_tseitin_4 @ X3 @ X2 @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl12,zip_derived_cl15]) ).
thf(zip_derived_cl285,plain,
! [X0: $i,X1: $i,X2: $i] : ( zip_tseitin_4 @ X2 @ X2 @ X1 @ X0 ),
inference(eq_res,[status(thm)],[zip_derived_cl233]) ).
thf(zip_derived_cl522,plain,
( ( ex_inf_of_relstr_set @ sk__7 @ sk__8 )
| ( ex_inf_of_relstr_set @ sk__7 @ sk__8 ) ),
inference(demod,[status(thm)],[zip_derived_cl517,zip_derived_cl285]) ).
thf(zip_derived_cl523,plain,
ex_inf_of_relstr_set @ sk__7 @ sk__8,
inference(simplify,[status(thm)],[zip_derived_cl522]) ).
thf(zip_derived_cl531,plain,
! [X0: $i] :
( ~ ( element @ X0 @ ( the_carrier @ sk__7 ) )
| ~ ( relstr_element_smaller @ sk__7 @ sk__8 @ X0 )
| ( element @ ( sk__9 @ X0 ) @ ( the_carrier @ sk__7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl523]) ).
thf(zip_derived_cl240_037,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( rel_str @ X1 )
| ~ ( ex_inf_of_relstr_set @ X1 @ X0 )
| ~ ( relstr_element_smaller @ X1 @ X0 @ X2 )
| ( related @ X1 @ X2 @ ( sk__3 @ X0 @ X1 ) )
| ~ ( element @ X2 @ ( the_carrier @ X1 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl20,zip_derived_cl229]) ).
thf(zip_derived_cl19_038,plain,
! [X0: $i,X1: $i] :
( ~ ( ex_inf_of_relstr_set @ X0 @ X1 )
| ( relstr_element_smaller @ X0 @ X1 @ ( sk__3 @ X1 @ X0 ) )
| ~ ( rel_str @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf(zip_derived_cl523_039,plain,
ex_inf_of_relstr_set @ sk__7 @ sk__8,
inference(simplify,[status(thm)],[zip_derived_cl522]) ).
thf(zip_derived_cl18_040,plain,
! [X0: $i,X1: $i] :
( ~ ( ex_inf_of_relstr_set @ X0 @ X1 )
| ( element @ ( sk__3 @ X1 @ X0 ) @ ( the_carrier @ X0 ) )
| ~ ( rel_str @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf(zip_derived_cl32_041,plain,
! [X0: $i] :
( ~ ( element @ X0 @ ( the_carrier @ sk__7 ) )
| ~ ( relstr_element_smaller @ sk__7 @ sk__8 @ X0 )
| ~ ( related @ sk__7 @ ( sk__9 @ X0 ) @ X0 )
| ~ ( ex_inf_of_relstr_set @ sk__7 @ sk__8 ) ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl523_042,plain,
ex_inf_of_relstr_set @ sk__7 @ sk__8,
inference(simplify,[status(thm)],[zip_derived_cl522]) ).
thf(zip_derived_cl530,plain,
! [X0: $i] :
( ~ ( element @ X0 @ ( the_carrier @ sk__7 ) )
| ~ ( relstr_element_smaller @ sk__7 @ sk__8 @ X0 )
| ~ ( related @ sk__7 @ ( sk__9 @ X0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl32,zip_derived_cl523]) ).
thf(zip_derived_cl537,plain,
! [X0: $i] :
( ~ ( rel_str @ sk__7 )
| ~ ( ex_inf_of_relstr_set @ sk__7 @ X0 )
| ~ ( relstr_element_smaller @ sk__7 @ sk__8 @ ( sk__3 @ X0 @ sk__7 ) )
| ~ ( related @ sk__7 @ ( sk__9 @ ( sk__3 @ X0 @ sk__7 ) ) @ ( sk__3 @ X0 @ sk__7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl530]) ).
thf(zip_derived_cl30_043,plain,
rel_str @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl539,plain,
! [X0: $i] :
( ~ ( ex_inf_of_relstr_set @ sk__7 @ X0 )
| ~ ( relstr_element_smaller @ sk__7 @ sk__8 @ ( sk__3 @ X0 @ sk__7 ) )
| ~ ( related @ sk__7 @ ( sk__9 @ ( sk__3 @ X0 @ sk__7 ) ) @ ( sk__3 @ X0 @ sk__7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl537,zip_derived_cl30]) ).
thf(zip_derived_cl576,plain,
( ~ ( relstr_element_smaller @ sk__7 @ sk__8 @ ( sk__3 @ sk__8 @ sk__7 ) )
| ~ ( related @ sk__7 @ ( sk__9 @ ( sk__3 @ sk__8 @ sk__7 ) ) @ ( sk__3 @ sk__8 @ sk__7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl523,zip_derived_cl539]) ).
thf(zip_derived_cl577,plain,
( ~ ( rel_str @ sk__7 )
| ~ ( ex_inf_of_relstr_set @ sk__7 @ sk__8 )
| ~ ( related @ sk__7 @ ( sk__9 @ ( sk__3 @ sk__8 @ sk__7 ) ) @ ( sk__3 @ sk__8 @ sk__7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl576]) ).
thf(zip_derived_cl30_044,plain,
rel_str @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl523_045,plain,
ex_inf_of_relstr_set @ sk__7 @ sk__8,
inference(simplify,[status(thm)],[zip_derived_cl522]) ).
thf(zip_derived_cl578,plain,
~ ( related @ sk__7 @ ( sk__9 @ ( sk__3 @ sk__8 @ sk__7 ) ) @ ( sk__3 @ sk__8 @ sk__7 ) ),
inference(demod,[status(thm)],[zip_derived_cl577,zip_derived_cl30,zip_derived_cl523]) ).
thf(zip_derived_cl579,plain,
( ~ ( element @ ( sk__9 @ ( sk__3 @ sk__8 @ sk__7 ) ) @ ( the_carrier @ sk__7 ) )
| ~ ( relstr_element_smaller @ sk__7 @ sk__8 @ ( sk__9 @ ( sk__3 @ sk__8 @ sk__7 ) ) )
| ~ ( ex_inf_of_relstr_set @ sk__7 @ sk__8 )
| ~ ( rel_str @ sk__7 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl240,zip_derived_cl578]) ).
thf(zip_derived_cl523_046,plain,
ex_inf_of_relstr_set @ sk__7 @ sk__8,
inference(simplify,[status(thm)],[zip_derived_cl522]) ).
thf(zip_derived_cl30_047,plain,
rel_str @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl580,plain,
( ~ ( element @ ( sk__9 @ ( sk__3 @ sk__8 @ sk__7 ) ) @ ( the_carrier @ sk__7 ) )
| ~ ( relstr_element_smaller @ sk__7 @ sk__8 @ ( sk__9 @ ( sk__3 @ sk__8 @ sk__7 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl579,zip_derived_cl523,zip_derived_cl30]) ).
thf(zip_derived_cl592,plain,
( ~ ( relstr_element_smaller @ sk__7 @ sk__8 @ ( sk__3 @ sk__8 @ sk__7 ) )
| ~ ( element @ ( sk__3 @ sk__8 @ sk__7 ) @ ( the_carrier @ sk__7 ) )
| ~ ( relstr_element_smaller @ sk__7 @ sk__8 @ ( sk__9 @ ( sk__3 @ sk__8 @ sk__7 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl531,zip_derived_cl580]) ).
thf(zip_derived_cl31_048,plain,
! [X0: $i] :
( ~ ( element @ X0 @ ( the_carrier @ sk__7 ) )
| ~ ( relstr_element_smaller @ sk__7 @ sk__8 @ X0 )
| ( relstr_element_smaller @ sk__7 @ sk__8 @ ( sk__9 @ X0 ) )
| ~ ( ex_inf_of_relstr_set @ sk__7 @ sk__8 ) ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl523_049,plain,
ex_inf_of_relstr_set @ sk__7 @ sk__8,
inference(simplify,[status(thm)],[zip_derived_cl522]) ).
thf(zip_derived_cl529,plain,
! [X0: $i] :
( ~ ( element @ X0 @ ( the_carrier @ sk__7 ) )
| ~ ( relstr_element_smaller @ sk__7 @ sk__8 @ X0 )
| ( relstr_element_smaller @ sk__7 @ sk__8 @ ( sk__9 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl523]) ).
thf(zip_derived_cl601,plain,
( ~ ( element @ ( sk__3 @ sk__8 @ sk__7 ) @ ( the_carrier @ sk__7 ) )
| ~ ( relstr_element_smaller @ sk__7 @ sk__8 @ ( sk__3 @ sk__8 @ sk__7 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl592,zip_derived_cl529]) ).
thf(zip_derived_cl602,plain,
( ~ ( rel_str @ sk__7 )
| ~ ( ex_inf_of_relstr_set @ sk__7 @ sk__8 )
| ~ ( relstr_element_smaller @ sk__7 @ sk__8 @ ( sk__3 @ sk__8 @ sk__7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl601]) ).
thf(zip_derived_cl30_050,plain,
rel_str @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl523_051,plain,
ex_inf_of_relstr_set @ sk__7 @ sk__8,
inference(simplify,[status(thm)],[zip_derived_cl522]) ).
thf(zip_derived_cl603,plain,
~ ( relstr_element_smaller @ sk__7 @ sk__8 @ ( sk__3 @ sk__8 @ sk__7 ) ),
inference(demod,[status(thm)],[zip_derived_cl602,zip_derived_cl30,zip_derived_cl523]) ).
thf(zip_derived_cl605,plain,
( ~ ( rel_str @ sk__7 )
| ~ ( ex_inf_of_relstr_set @ sk__7 @ sk__8 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl603]) ).
thf(zip_derived_cl30_052,plain,
rel_str @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl523_053,plain,
ex_inf_of_relstr_set @ sk__7 @ sk__8,
inference(simplify,[status(thm)],[zip_derived_cl522]) ).
thf(zip_derived_cl606,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl605,zip_derived_cl30,zip_derived_cl523]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU357+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.hf1EOPJRHx true
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 24 00:50:09 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.22/0.67 % Total configuration time : 435
% 0.22/0.67 % Estimated wc time : 1092
% 0.22/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.67/0.90 % Solved by fo/fo6_bce.sh.
% 1.67/0.90 % BCE start: 38
% 1.67/0.90 % BCE eliminated: 2
% 1.67/0.90 % PE start: 36
% 1.67/0.90 logic: eq
% 1.67/0.90 % PE eliminated: 6
% 1.67/0.90 % done 135 iterations in 0.127s
% 1.67/0.90 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.67/0.90 % SZS output start Refutation
% See solution above
% 1.67/0.90
% 1.67/0.90
% 1.67/0.90 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.67/0.90 % Terminating...
% 1.80/0.97 % Runner terminated.
% 1.80/0.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------